Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Categories Related to Topology Viewed as Soft Sets

Authors
Banu Pazar Varol, Alexander Shostak, Halis Aygün
Corresponding Author
Banu Pazar Varol
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.52How to use a DOI?
Keywords
soft set, soft neighborhood set, Lfuzzifying soft neighborhood set, L-soft neighborhood set, L-fuzzy soft neighborhood set, topology.
Abstract
D. Molodtsov (1999) introduced the concept of a soft set as a new approach for modeling uncertainties. The aim of this work is to define special kinds of soft sets, namely soft, L-fuzzifying soft, L-soft, and L-fuzzy soft neighborhood sets and to use them in order to give an alternative characterization of categories related to topology: crisp topological, L-topological, L-fuzzifying topological and L-fuzzy topological spaces.
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.52How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Banu Pazar Varol
AU  - Alexander Shostak
AU  - Halis Aygün
PY  - 2011/08
DA  - 2011/08
TI  - Categories Related to Topology Viewed as Soft Sets
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 883
EP  - 890
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.52
DO  - https://doi.org/10.2991/eusflat.2011.52
ID  - Varol2011/08
ER  -